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An application of the capacitance matrix method to accommodate masked land areas and island circulations in a primitive equation ocean model
Author(s) -
Wilkin John L.,
Mansbridge James V.,
Hedström Katherine S.
Publication year - 1995
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650200705
Subject(s) - superposition principle , curvilinear coordinates , matrix (chemical analysis) , boundary (topology) , flow (mathematics) , mathematics , mathematical analysis , meteorology , geology , geometry , geography , materials science , composite material
The capacitance matrix method has been implemented in a primitive equation ocean model to accommodate islands and portions of irregular coastal boundaries that cannot be treated adequately by boundary‐fitted orthogonal curvilinear co‐ordinates. The algorithm preserves the ability to solve the streamfunction equation using fast and accurate elliptic solvers that require a rectangular computational domain. By superposition of a set of island Green functions, the solution is adjusted to ensure continuity of pressure around each island. The implementation is tested by comparison with an analytic solution for wind‐driven flow in a closed basin similar to the southwest Pacific Ocean.